Integral lattice 2.15.15.1.2

• Label: 2.15.15.1.2
• Class number: $1$
• Dimension: $2$
• Determinant: $15$
• Level: $15$

Lattice Invariants

Dimension:

$2$

Determinant:

$15$

Level:

$15$

Density:

$0.811155735194722379390592154060\dots$

Group order:

$4$

Hermite number:

$1.03279555898864450271447077328\dots$

Minimal vector length:

$4$

Kissing number:

$4$

Normalized minimal vectors:

$(1, 0)$, $(0, 1)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rr} 4 & 1 \\ 1 & 4 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 4 & 1 \\ 1 & 4 \end{array}\right)$
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